Yla-Oijala, "Discretization of electric current volume integral equation with piecewise linear basis functions," IEEE Transactions on Antennas and Propagation, vol. 62, no. 9, pp. 4877- 4880, 2014.J. Markkanen and P. Yla-Oijala, "Discretization of electric current volume integral equation with...
We discuss technical results on learning function approximations using piecewise-linear basis functions, and analyze their stability and convergence using nonlinear contraction theory. PDF Paper record Neuron i Neighbour of i i1 i2 i5 i4 i2 i3 i6 i5 i1 i3 i7 i6 i2 i4 i1 i5 i8 i5...
A semidiscretization problem in time and space variables usingpiecewise linearandpiecewisequadratic basisfunctionsis conducted. ParaCrawl Corpus The downwards slope generally holds, but the model of the curve is onlypiecewisetrue, as price surveys indicate that demand for a product is not alinear functi...
It attempts to approximate the solution to some equation bypiecewiselinearfunctions, where the pieces are chosen with respect to a sufficiently fine grid, which in turn can be recast as a matrix equation. WikiMatrix It is a periodic,piecewiselinear, continuous realfunction. ...
S. Section-wise piecewise-linear functions: canonical representation, properties, and applications.Proc. IEEE65, 915–929 (1977).This paper proposes the pioneering compact expression for PWL functions and formally introduces it for circuit systems, and analytical analysis for PWL functions has since be...
chapter-08_piecewise linear
samples can be used as a basis for constructing formal models. Through the rest of the paper, whenever we claim “sound- ness” of a device model, it refers to soundness with respect to some pre-specified, sufficiently large number of data points. B. Piecewise Linear Functions We no...
A modified Newton method, which computes the second-order derivatives, to minimize a sum of squared loss in solving non-linear least squares problems. Multivariate adaptive regression splines A flexible regression model consisting of weighted basis functions, which are expressed in terms of the product...
The structure present in the model class enables the use of this well-known theory in the context of piecewise linear systems. We believe that this forms a basis for solving various system-and control-theoretic problems like observability, detectability, observer and controller design for this ...
In Part 2 [5] we will extend these theorems to the case of functions between nonsmooth manifolds. A Euclidean Lipschitz Rank Theorem has been presented before in the literature [1] and there was an attempt to generalize it in [3]; Clarke's Inverse Function Theorem was used as a basis ...